<span>Defective rate can be expected
to keep an eye on a Poisson distribution. Mean is equal to 800(0.02) = 16,
Variance is 16, and so standard deviation is 4.
X = 800(0.04) = 32, Using normal approximation of the Poisson distribution Z1 =
(32-16)/4 = 4.
P(greater than 4%) = P(Z>4) = 1 – 0.999968 = 0.000032, which implies that
having such a defective rate is extremely unlikely.</span>
<span>If the defective rate in the
random sample is 4 percent then it is very likely that the assembly line
produces more than 2% defective rate now.</span>
Answer:
The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Step-by-step explanation:
Let
, for
.
represents the temperature of the water, measured in degrees Celsius, and
is the number of salmon swimming upstream to spawn, dimensionless.
We compute the first and second derivatives of the function:
(Eq. 1)
(Eq. 2)
Then we equalize (Eq. 1) to zero and solve for
:
![-3\cdot x^{2}+4\cdot x +405 = 0](https://tex.z-dn.net/?f=-3%5Ccdot%20x%5E%7B2%7D%2B4%5Ccdot%20x%20%2B405%20%3D%200)
And all roots are found by Quadratic Formula:
, ![x_{2}\approx -10.971\,^{\circ}C](https://tex.z-dn.net/?f=x_%7B2%7D%5Capprox%20-10.971%5C%2C%5E%7B%5Ccirc%7DC)
Only the first root is inside the given interval of the function. Hence, the correct answer is:
![x \approx 12.305\,^{\circ}C](https://tex.z-dn.net/?f=x%20%5Capprox%2012.305%5C%2C%5E%7B%5Ccirc%7DC)
Now we evaluate the second derivative at given result. That is:
![S''(12.305) = -6\cdot (12.305)+4](https://tex.z-dn.net/?f=S%27%27%2812.305%29%20%3D%20-6%5Ccdot%20%2812.305%29%2B4)
![S''(12.305) = -69.83](https://tex.z-dn.net/?f=S%27%27%2812.305%29%20%3D%20-69.83)
According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Question 13: The answer is D
Question 7: The answer is C
Question 14: The answer is B
And the question for the last Pic, the correct graph is B.
The atomic mass of an element is the average mass of the atoms of an element measured in atomic mass unit (amu, also known as daltons, D). The atomic mass is a weighted average of all of the isotopes of that element, in which the mass of each isotope is multiplied by the abundance of that particular isotope. (Atomic mass is also referred to as atomic weight, but the term "mass" is more accurate.)
50.1 is the answer hope this helps and please GIVE ME BRAINIEST and add me as a friend. 86.9-36.8=50.1